41424213121200 has 1920 divisors, whose sum is σ = 194475352780800. Its totient is φ = 8133939855360.

The previous prime is 41424213121117. The next prime is 41424213121217. The reversal of 41424213121200 is 212131242414.

41424213121200 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 421 + 31 + 2 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 836338036 + ... + 836387564.

It is an arithmetic number, because the mean of its divisors is an integer number (101289246240).

Almost surely, 2^{41424213121200} is an apocalyptic number.

41424213121200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41424213121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97237676390400).

41424213121200 is an abundant number, since it is smaller than the sum of its proper divisors (153051139659600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41424213121200 is a wasteful number, since it uses less digits than its factorization.

41424213121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49636 (or 49619 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41424213121200 its reverse (212131242414), we get a palindrome (41636344363614).

The spelling of 41424213121200 in words is "forty-one trillion, four hundred twenty-four billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred".